document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=365063>Question 365063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The reciprocal of one third of a number decreased by one third of the reciprocal of the number is 1/3. find the number.<BR>\n" );
document.write( "I let x be the number.<BR>\n" );
document.write( "x/3 = the third the number<BR>\n" );
document.write( "3/x 1/3 of the reciprocal\r<BR>\n" );
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document.write( "So...<BR>\n" );
document.write( "x/3 - 3/x = 1/3<BR>\n" );
document.write( "3x(x/3 - 3/x) = (1/3)3x<BR>\n" );
document.write( "x^2 - 9 = x<BR>\n" );
document.write( "x^2 - x - 9 = 0\r<BR>\n" );
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document.write( "That can't be factored, can you show me what I did wrong please?<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260289 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=260289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The reciprocal of one third of a number\" <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Fx%29 ALIGN=MIDDLE  ALT=\"%283%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"one third of the reciprocal of the number\" is 1/3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%281%2Fx%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%281%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Fx%29-%281%2F3%29%281%2Fx%29=1%2F3 ALIGN=MIDDLE  ALT=\"%283%2Fx%29-%281%2F3%29%281%2Fx%29=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-1=x ALIGN=MIDDLE  ALT=\"9-1=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=8%29 ALIGN=MIDDLE  ALT=\"highlight%28x=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );